graph of 1 x 2

graph of 1 x 2 As you have x 2 then 1 x 2 will always be positive So y is always positive As x becomes smaller and smaller then 1 1 x 2 1 1 1 So lim x 0 1 1 x 2 1 As x becomes bigger and bigger then 1 x 2 becomes bigger so 1 1 x 2 becomes smaller lim x oo 1 1 x 2 0

The graph of this function looks like a bell centred around the y axis First you must ensure that the denominator is different from zero so you set x 0 The y axis becomes a vertical asymptote of your function basically the graph of your function will be a curve that gets as near as possible to the y axis without ever crossing it When x gets near zero but not zero the color blue Point 1 general shape of the graph The coefficient of x 2 is 1 positive so the graph is of general shape uu thus it has a minimum Just for a moment let is pretend that the coefficient was negative If that had been the case the graph would be of general shape nn

graph of 1 x 2

graph of 1 x 2
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How Do You Graph Y 1 x 2 Socratic
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Graph Of Y 1 x 2
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Vertical asymptotes for rational functions are found by setting the denominator equal to 0 This also helps to find the domain The domain can NOT contain that number For this function x 2 0 so x 0 is the equation of the vertical asymptote and 0 must be left out of the domain infty 0 U 0 infty in interval notation Horizontal asymptotes are found by substituting Let us now look at the transformation of the graph Consider the format color blue y f x a x 2 color red 0 a 1 results in a compression Since in the problem color red y f x 1 2 x 2 color green a 1 2 there will be a vertical compression toward the x axis The graph is below Note that the graphs of y f x x

Plotting ordered pairs is a very good place to start learning about the graphs of quadratics In this form x 1 2 I usually set the inside part of the binomial equal to 0 x 1 0 When you solve that equation it gives you the x value of the vertex This should be the middle value of your list of inputs so that you can be sure to get the symmetry of the graph well Note that it crossed x axis at x 2 4 In segment x 4 all the terms are positive hence product is positive and the curve is above x axis Note that it crossed x axis at x 4 One can also put some other values of x now in different segments and complete the graph It appears as shown below graph x 1 x 2 x 4 20 20 10 10

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This is a quadratic equation so it makes a Parabola on a graph Information x intercept 1 0 y intercept 0 1 Try different x values to get function s value and then plot it If x is 0 your function y 1 4 If x is 1 your function y 1 3 If x is 2 your function is not defined

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